# It is commonly assumed that GREs produce scores with a mean of 500 In October 2020 the mean verbal score of 5701 Malaysian students: Statistics Assignment, UM, Malaysia

School

###### Universiti Malaya (UM)

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Assignment Type

Subject

Date

###### 29/11/2021

It is commonly assumed that GREs produce scores with a mean of 500. In October 2020, the mean verbal score of 5701 Malaysian students was 503 with a standard deviation of 104. Test the hypothesis that the sample mean equals the population mean at a .05 level of significance.

1. State the null hypothesis and the alternative hypothesis for the above test;
2. Calculate the t value and make your decision and conclusion; and
3. What are the practical implications of your decision?
• As part of the program to reduce smoking, the Ministry of Health ran an advertising campaign to convince people to quit smoking. To evaluate the effectiveness of their campaign, they had 12 subjects record the average number of cigarettes smoked per day in the week before and the week after exposure to the advertisement. The data were:

Test the effectiveness of the campaign by testing the appropriate hypothesis at a 0.05 level of significance.

1. State the appropriate null and alternative hypothesis
2. Calculate the t value
3. Make your decision and conclusion
4. Run the t-test analysis using the SPSS and compare the results with that of the above manual calculations.

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